52781678010000 has 675 divisors, whose sum is σ = 188134632211383. Its totient is φ = 13809502080000.

The previous prime is 52781678009969. The next prime is 52781678010031. The reversal of 52781678010000 is 1087618725.

It is a happy number.

The square root of 52781678010000 is 7265100.

It is a perfect power (a square), and thus also a powerful number.

52781678010000 is a `hidden beast` number, since 527 + 8 + 16 + 7 + 8 + 0 + 100 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52781678009969) and next prime (52781678010031).

It can be written as a sum of positive squares in 22 ways, for example, as 30134434586256 + 22647243423744 = 5489484^2 + 4758912^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 132951329802 + ... + 132951330198.

Almost surely, 2^{52781678010000} is an apocalyptic number.

52781678010000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52781678010000 is the 7265100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52781678010000

52781678010000 is an abundant number, since it is smaller than the sum of its proper divisors (135352954201383).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52781678010000 is an frugal number, since it uses more digits than its factorization.

52781678010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 52781678010000 in words is "fifty-two trillion, seven hundred eighty-one billion, six hundred seventy-eight million, ten thousand".